42011136 has 100 divisors (see below), whose sum is σ = 125515962. Its totient is φ = 13989888.

The previous prime is 42011119. The next prime is 42011153. The reversal of 42011136 is 63111024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42011119) and next prime (42011153).

It can be written as a sum of positive squares in only one way, i.e., 41990400 + 20736 = 6480^2 + 144^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40966 + ... + 41978.

Almost surely, 2^42011136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42011136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62757981).

42011136 is an abundant number, since it is smaller than the sum of its proper divisors (83504826).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42011136 is an equidigital number, since it uses as much as digits as its factorization.

42011136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 42011136 is about 6481.5998025179. The cubic root of 42011136 is about 347.6333832284.

The spelling of 42011136 in words is "forty-two million, eleven thousand, one hundred thirty-six".